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Finding the Fourth Proportional to 342,054.07, 472,034.31 and 206,093.74

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Solution

The fourth proportional to 342,054.07, 472,034.31 and 206,093.74 is: 284,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,054.07 : 472,034.31 = 206,093.74 : x
  2. Step 2: Convert to fraction form
    342,054.07/472,034.31 = 206,093.74/x
  3. Step 3: Cross multiply
    342,054.07x = 472,034.31 × 206,093.74
  4. Step 4: Simplify right side
    342,054.07x = 97,283,316,356.22
  5. Step 5: Solve for x
    x = 97,283,316,356.22/342,054.07
  6. Step 6: Final answer
    x = 284,409.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.